222241516761600 has 1440 divisors, whose sum is σ = 940229256595200. Its totient is φ = 50101546844160.

The previous prime is 222241516761571. The next prime is 222241516761601. The reversal of 222241516761600 is 6167615142222.

222241516761600 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 4 + 1 + 516 + 76 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (222241516761601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2884454277 + ... + 2884531323.

Almost surely, 2^{222241516761600} is an apocalyptic number.

222241516761600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222241516761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470114628297600).

222241516761600 is an abundant number, since it is smaller than the sum of its proper divisors (717987739833600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222241516761600 is an equidigital number, since it uses as much as digits as its factorization.

222241516761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77175 (or 77137 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 222241516761600 in words is "two hundred twenty-two trillion, two hundred forty-one billion, five hundred sixteen million, seven hundred sixty-one thousand, six hundred".